Integrating ICT in Teaching and Learning Mathematics

Integrating ICT in Teaching and Learning Mathematics Investigate and discuss the use of ICT in teaching and learning Mathematics. Explore the use of MAPLE. Illustrate and discuss: 1) Competence with the main features of a range of ICT: ICT in teaching and learning mathematics is a requirement of the National curriculum and computer simulations can now place mathematics in a real life context. [1]There are a number of superior computer-based environments available to support this process. Some of these include dynamic geometry environments, graph-plotting packages, statistics and data holding packages and computer- algebra packages. Graphing calculators can be used to teach the beginning of Algebra. Similarly pocket calculators are convenient and quick to access as well as being relatively inexpensive today and is a useful mathematical tool. With the graphing calculator it is possible to determine that ‘every classroom could be turned into a computer lab and every student could own his or her own inexpensive personal computer with built-in mathematics software’ [2] The researchers Arnold and Aus identified three generations of graphing calculators: scientific calculators with large viewing windows, e.g. The T1-82, those which were more versatile with a range of mathematical functions like the Casio – 98JOG and those with CAS and dynamic geometry like the TI-92. Several discussions can be had around the implementation of calculators in mathematics teaching and learning and the subject continues to spark debate. Although the resolution of a hand held calculator is not comparable with that of a computer screen there is no need to alter the setting of the classroom or have to gain access to a number of computers to use it for learning. With regard to computational skills and mental arithmetic again calculators come up for criticism although there is a definite argument to be had that suggests calculators do not compromise the application of basic mathematical skills, as long as those skills are developed first in a conventional environment u sing pen and paper based calculations. [3] ICT can assist with turning algebraic symbols into graphical representations and vice versa. Using spreadsheets for algebra can encourage the use of letters to be interpreted as symbols and spreadsheet symbols can be used to solve mathematical problems[4]. Spreadsheets can be utilized to introduce students to a range of mathematical ideas and as a more generic mathematical tool. Recent research also provides evidence that young people are beginning to use spreadsheets on their own home computers. [5]Dynamic geometry can be used to teach transformation geometry as it can for establishing properties of circles, functions and graphs. Secondary level curriculum mathematics skills and the application of IT can be linked intrinsically by way of some of the following examples. The pupils ability to develop skills of mathematical modeling through the exploration, interpretation and explanation of data can be enhanced by using the appropriate graphical representations for displaying information from a data-set, by experimenting with forms of equations in producing graphs which are good fits for data plots and using motion sensors to produce distance-time graphs. Software can be applied in the context of learning about shapes, space and links with Algebra which automates geometric constructions, carries out specific geometric transformations and performs operations on co-ordinates or is able to draw loci. Finally by entering a formula in algebraic notation to generate values and match a given set of numbers, this can support the Secondary level skill to explore, describe and explain patterns and relationships in sequences and tables of numbers. [6] There are many reasons why mathematics teachers are reluctant to integrate ICT into teaching in the classroom. Many of the computer-based environments are complicated and teachers need to learn themselves how to use these tools effectively for doing mathematics. Although newly qualifying teachers have to pass a basic ICT test as part of their training, it is still difficult for teachers to know where to start, particularly some of the older generation of mathematics teachers. In the practical sense access to computers is not always possible for the benefit of every child being able to learn at the same time and sub-groups and individuals may have to be established in order to take it in turns to use a single computer in the classroom which can be time consuming and logistically difficult. However computers and calculators can be considered to provide six major opportunities for students learning mathematics: Learning from feedback – the computer can provide fast and reliable feedback which is non-judgmental and impartial. This can build students confidence and help them construct their own ideas. Observing patterns – The speed of computers and calculators enables students to provide many examples when exploring mathematical problems. Seeing connections – The computer enables formulae, tables and numbers and graphs to be linked easily. The result of seeing one representation and changes in the other helps pupils to understand the connections between them Working with dynamic images – Students can use computers to manipulate diagrams and encourages them to visualise the geometry. Exploring data – Computers enable students to work with real data which can be represented in a variety of ways. This supports its interpretation and analysis. ‘Teaching’ the computer – When students design an algorithm to make a computer achieve a specific task, they are urged to express their commands literally and in a correct order.[7] 2) Demonstrate the ability to explore maths and solve maths problems using MAPLE in-depth. MAPLE can be defined as a fundamental computer algebra software package which uses simple commands to perform complex operations and enables like by like analysis similar to using a pen and paper. It also allows pupils to focus on the underlying mathematical principles. [8] In Darlene Wu’s Understanding of Calculus she uses a number of experiments to determine the benefits of MAPLE on a series of students. She adheres to the notion that most traditional algebraic features can be delegated to a computer. In particular using MAPLE most problems can be resolved and believe this should be riled out for the benefit of all students studying mathematics. The problem below was assigned to a group of students in a research environment: Graph f(x) = ln(sin(x)*cos(x)) and g(x) = ln(sin(x)) + ln(cos(x)). What is the relationship between the graphs? Does it contradict the property ln(x*y) = ln(x) + ln(y)? By using the graphs of these two functions together with the graphs of sin(x) and cos(x), the students investigated the properties of sin, cos, and ln and show their answers in writing. Students used Maple to draw the two graphs easily, but they looked entirely different. This led the researchers to wander whether this contradicted ln(x*y) = ln(x) + ln(y)? And if so how would students explain it? The experiment needed to be repeated several times, recalling the definitions and properties of ln, sin and cos and concluded that the students assumed the two graphs looked different, whereas they are identical as long as ln(sin(x)cos(x)) and ln(sin(x))+ln(cos(x)) are defined. Wu’s paper concludes that it is necessary to train students to use mathematical methods effectively not just for the purposes of their job but for ‘the real world’ and that software programmes that help in this process are fundamental to their learning. However as a number of contradictions and problems emerged with equations through using MAPLE not only does Wu concede that students may become confused and panic if they cannot attribute the Mathematics problem to themselves or the Mathematics problem itself. She also notes that when teaching calculus it is important to consider whether such technology is still too overwhelming as well as students becoming dependent on its solutions, rather than working them out traditionally. [9] In comparison to this notion another paper with MAPLE as its core area of study is Fitz-Gerald and Healey’s Enlightening the mathematics curriculum with MAPLE. This discusses the implementation of MAPLE to the undergraduate Mathematics curriculum in a large University in Australia. The overall consensus was that in applying MAPLE, traditional topics that were once unpopular with students were now being approached in a much more understanding and enthusiastic way. This experiment demonstrates the advantages of being able to encourage Mathematics by way of helpful software across new audiences who might not have been inspired previously to study in this area.[10] 3. Identify the ways in which a particular ICT Software or graphics calculator can be used within a learning environment and the advantages/disadvantages of each in enabling effective maths learning. In Horton et al’s The graphing calculator as an aid to teaching algebra the paper points out that calculators have become popular in the classroom for the benefit of convenience and speed. What the researchers also determined was that tutorials on the Casio FX2.0 and FX 2.0 PLUS models actually improved manipulative skills. Students beginning a college algebra course following the tutorial scored significantly higher on a test which involved solving linear equations and in addition made suggestions for the tutorial also contributing to an improvement in attitudes.[11] It is interesting to consider their benefits for something other than the obvious assumptions to be made about graphics calculators. In absolute contrast to all perceived theories Graphic Calculators In The Classroom: Students’ Viewpoints presents the results of a piece of research carried out amongst low achieving eleventh grade pupils in Portugal. This revealed that little improvement was gained from introducing graphic calculators to mathematics lessons as the pupils considered the impact of their teacher; their teaching style and personality to be of more educational value to them than the calculator, which improved very little in terms of their academic improvement where mathematics was concerned.[12] Another perhaps more important everyday negative aspect of graphic calculators is their inclusion of games and other non-educative devises such as phonebooks and personal organizers which can detract pupils away from the learning process in the classroom. In addition, the potential for students to store information and consequently cheat during examinations when they are allowed to take calculators in with them in a test environment. The other argument when weighing up some of the differences between hand-held devices and computer programmes is that a calculator can accompany a student into an examination, whereas a computer cannot. They are flexible and user- friendly as well as being able to be powered by solar energy which is of course far more beneficial to the environment. Another advantage is the diminishing cost of calculators. They can be easily purchased anywhere at a relatively small price in comparison with a computer which ‘It has been suggested recently render(s) the use of graphics calculators much more attractive to schools than computers’[13] Interestingly in his research Spreadsheets, graphics calculators and  mathematics education, Barry Kisane provides a suggestion for combining programmes into graphics calculators in order to maximize their potential, thus making them less of a calculator and more of a computer. And notes that ‘The inclusion of these essential  features on graphics calculators seems to extend the range of influence of the  spreadsheet as a useful device for mathematics education in secondary schools, and is deserving of attention to exploit it appropriately’.[14] Essentially perhaps the way forward with graphics calculators is to then modify and technologically enhance them further so that they can take on many of the characteristics of the computer whilst not having the capacity to store information that might prove potentially incriminating to a student in the examination room. Bibliography Bishop, A.J, Clements, M.A (2003) Second International Handbook of Mathematics Education: Springer Cowan, P (2006) Teaching Mathematics: A Handbook for Primary and Secondary School Teachers: Routledge Da Ponte Canavarro (1993) Graphic Calculators In The Classroom: Students’ Viewpoints: Centro de Investigaà §Ãƒ £o em Educaà §Ãƒ £o da Faculdade de Cià ªncias Fitz-Gerald Healey Enlightening the mathematics curriculum with MAPLE, Essay taken from Maple V: Mathematics and Its Application : Proceedings of the Maple Summer Workshop and Symposium, Rensselaer Polytechnic Institute, Troy, New York, August 9-13, 1994By Robert J. Lopez: Birkhà ¤user Horton, R. M., Storm, J., Leonard, W.H. (2004). The graphing calculator as an aid to teaching algebra, Contemporary Issues in Technology and Teacher Education, 4(2), 152 -162. Johnston-Wilder, S, Pimm, D (2005) Teaching Secondary Mathematics with ICT: McGraw-Hill International Kemp, M, Kissane, B Bradley, J (1995) ‘Assessment and the graphics calculator’ in Anne Richards (ed.) FLAIR: Forging links and integrating resources, Darwin, The Australian Association of Mathematics Teachers, 235-241. (Also available at http://wwwstaff.murdoch.edu.au/~kissane/papers/aamt95.pdf Kissane, B (2007) Spreadsheets, graphics calculators and  mathematics education, In K. Milton, H. Reeves T. Spencer (eds) Mathematics: Essential for learning, essential for life. 21st Biennial Conference of the Australian Association of Mathematics Teachers (pp 331-339), Hobart: Australian Association of Mathematics Teachers. Rielly, C (2004) The Application of Computer Algebra Software in the Teaching of  Engineering Mathematics, Higher Education Academy Sutherland, R (2004) Teaching for Learning Mathematics: McGraw-Hill International Wu, D, Some Examples on Using Maple to Increase Students. Understanding  of Calculus, Sourced from: http://archives.math.utk.edu/ICTCM/VOL08/C052/paper.pdf, Date accessed, Footnotes [1] Cowan,P (2006) Teaching Mathematics: A Handbook for Primary and Secondary School Teachers: Routledge [2] Bishop,A.J, Clements,M.A (2003) Second International Handbook of Mathematics Education: Springer [3] Bishop,A.J, Clements,M.A (2003) Second International Handbook of Mathematics Education: Springer [4] Sutherland,R (2004) Teaching for Learning Mathematics: McGraw-Hill International [5] Sutherland,R (2004) Teaching for Learning Mathematics: McGraw-Hill International [6]Cowan,P (2006) Teaching Mathematics: A Handbook for Primary and Secondary School Teachers: Routledge [7] Johnston-Wilder, S, Pimm,D (2005) Teaching Secondary Mathematics with ICT: McGraw-Hill International [8] Rielly,C (2004) The Application of Computer Algebra Software in the Teaching of  Engineering Mathematics, Higher Education Academy [9] (Sourced from: http://archives.math.utk.edu/ICTCM/VOL08/C052/paper.pdf, Date accessed, 30/11/08 [10] Fitz-Gerald Healey Enlightening the mathematics curriculum with MAPLE, Essay taken from Maple V: Mathematics and Its Application : Proceedings of the Maple Summer Workshop and Symposium, Rensselaer Polytechnic Institute, Troy, New York, August 9-13, 1994By Robert J. Lopez: Birkhà ¤user [11] Horton, R. M., Storm, J., Leonard, W.H. (2004). The graphing calculator as an aid to teaching algebra, Contemporary Issues in Technology and Teacher Education, 4(2), 152 -162. [12] Da Ponte Canavarro (1993) Graphic Calculators In The Classroom: Students’ Viewpoints: Centro de Investigaà §Ãƒ £o em Educaà §Ãƒ £o da Faculdade de Cià ªncias [13] Kemp, M, Kissane,B Bradley,J (1995) ‘Assessment and the graphics calculator’ in Anne  Richards (ed.) FLAIR: Forging links and integrating resources, Darwin, The Australian Association of  Mathematics Teachers, 235-241.  (Also available at http://wwwstaff.murdoch.edu.au/~kissane/papers/aamt95.pdf [14] Kissane,B (2007) Spreadsheets, graphics calculators and  mathematics education, In K. Milton, H. Reeves T. Spencer (eds) Mathematics: Essential for learning, essential for life. 21st Biennial Conference of the Australian Association of Mathematics Teachers (pp 331-339), Hobart: Australian Association of Mathematics Teachers.

Gender Stereotyping in TV Commercials Essay

Stereotyping is basically relating a certain behavior or actions to a certain sector of the society or a certain group of people. It dictates how a person or a group is supposed act or respond in front of the society. It tells what behavior by a particular group is acceptable to the society. Such labels or tags are put by us humans itself. Gender stereotyping is when we relate certain manners or conduct to men and women. For example, men are the bread earners of the house and women are home makers. Such stereotypes are created by the society and the general behavior portrayed by them. Today gender stereotyping is extensively used in television commercials. This is mainly done to attract viewers to buy their product. Female stereotypes are mostly used in TV advertisements. Women are usually portrayed as sex objects in commercials. They are portrayed as â€Å"decoratives† in various promotional strategies. They are shown as desirable women to attract the male crowd. They are used more in those commercials which advertise products used by men. For example axe, addiction, etc. They are also shown with minimal clothing. Women are also portrayed as housewives only. In advertisements like Saffola oil, Maggi, Everest masala, etc. t is always the woman who is cooking, etc. Women are shown as people with lower status than men. They are the ones who are washing dishes and clothes in ads like Vim and Surf Excel respectively. Most successful women portrayed on television are always shown as fair and young women. Duskier women are very rarely shown in ads. Fair & Lovely ads are a great example. They demonstrate that any and every woman can become fair after using their product. The end result is shown as them turning fair and becoming successful or popular. They stereotype that women must always be fair and pretty to be successful. Male stereotypes are less used as compared to female stereotypes. They are usually portrayed as more successful and powerful. Men are usually well dressed in TV commercials. They are shown to have more poise and status in the society. Mostly only handsome and good looking men are used to sell products to women. Men are stereotyped to be the ones to lead the society ahead with their charm and personality and success. It has been tried to avoid such stereotyping by a lot of advertisers but at the end of the day the viewers get attracted to such advertisements only. Companies generate more revenue but such advertisements.

Finding Ielts Essay Liz Samples Online

Finding Ielts Essay Liz Samples Online The Rise of Ielts Essay Liz Samples Thus don't get intimidated if you believe you cannot write such essays. The essay is all about the advantages and drawbacks of IT, so these will have to be discussed in distinct paragraphs. It wasn't easy for all of us to get started with writing essays. Introduction People appear to be either excited or worried about the upcoming effects of artificial intelligence. Other individuals believe it's up to each person to be environmentally responsible. Freedom of expression and speech is an important portion of the majority of modern societies. What's more, some people are inclined to believe everything they read on the net and don't think whether it's true or not. On the 1 hand, many think it is simpler for the majority of people to locate a great job if they are university graduates with a very good level. Lots of people discover that it's tough to be considering learning new things. For example, they can access news, medical advice, online education courses and much more via the internet. Looking at IELTS essay topics with answers is a significant method to assist you to get ready for the test. Our sample essay has a straightforward but very good introduction in which it demonstrates that the examinee has knowledge of the subject and clearly states the writer's position to prepare the remainder of the essay. Inside this essay IELTS examiners would like you to provide a very clear opinion, therefore it's critical that you earn a decision when you read the question. Within this introductory lesson you will discover some guidance regarding how you should write an IELTS essay. These high score model essays can help you know how to answer the essay questions and the way to structure your writing. Remember you only have 40 minutes to compose the essay, and a few of this time should be spent planning. After the test you're going to be provided a score from 1-9. If you're a professional hoping to acquire the perfect IELTS score to land that dream job, you're in the most suitable location. These IELTS sample essays are categorised in a manner that makes it simple for you to observe how certain essay question types ask you to present certain responses to be sure the question is completely answered. You should generate ideas during the test and produce examples from your own wisdom and experience. There are then more lessons on these pages for various forms of essay and various questions, with a lot of ideas and strategies for achieving a high score. Writing too many will take an excessive amount of time, and there's a larger possibility of earning mistakes. The One Thing to Do for Ielts Essay Liz Samples A scarcity of interest in the news is also on account of the simple fact that young folks are fascinated by new technology, like computers and the web. The very first issue is the reduce quality of life because of the increasingly heavier burden on the current urban infrastructure. The one thing missing is an in depth explanation after each principal paragraph top ic sentence. A more severe issue is that the high price tag of a university education will signify that lots of families are reluctant to have more than 1 child, exacerbating the falling birthrates in some specific countries. To conclude, it would appear that people may reap a large number of benefits regarding communication due to the use of a universal dialect. Frequently the problems of our world can appear overwhelming but if students are given the chance to help others, even in a little way, they will observe they can earn a difference. In addition, in the event of young individuals, teachers often have to force students to learn through the usage of punishments. Another reason teachers are needed is since they can teach young people important abilities and values.

Tda 2.6 1.1 Describe Why Team Work Is Important in Schools...

TDA 2.6 1.1 Describe why team work is important in schools Team work in schools is important as it’s a development not only for you but also for others. It helps to build a positive relationship with those that are within your team, as well as showing that there is support for one another within the structure. When there is team work, responsibilities and tasks are shared and are completed more effectively and also in a good time scale. Each member or person has their own skill and or expertise, communicating with them helps you to learn, build up your own knowledge and know your own responsibilities. Communication is an invaluable tool in team work; you can ask for advice or even give advice about certain subjects or topics, as well as†¦show more content†¦Their main objective is to create a safe educational environment for the children to learn in to help them develop in all areas. The setting offers a variety of activities for the children to take part in which will develop areas of their holistic development which will wo rk with the children to reach the goals set for them. 1.3 Describe own role and responsibilities and those of others in the team My own role and responsibilities as an assistant is to work under the instruction and guidance of the teaching and senior staff. Usually within the classroom with the class teacher, supporting learning for the pupils and providing general support to the teacher in the management of the pupils and the classroom. My role as a teaching assistant is to take on tasks such as preparing the classroom for lessons and clearing up afterwards, which allow the teacher to concentrate on teaching. To support pupils with particular individual needs, sometimes my role is to work one to one, while others work in small groups or work with one of these groups. The teacher is not able to give every pupil individual attention, assistants provide essential support to the pupils and the lead teacher. My responsibilities also include: - Supervising creative activities (e.g. when the children use scissors) - giving support to pupils (individually or groups) who need to finish a particular task - helping children to learn through play -Show MoreRelatedCashe Level 2 Essay example18123 Words   |  73 Pagesthis Qualification Specification How the qualification works Understanding learning outcomes Making use of the CACHE websites The Public Website The Centre Secure Website 5 6 6 7 8 8 8 Section 2: About this qualification Qualification summary CACHE Level 2 Certificate for the Children and Young People’s Workforce (QCF) 9 10 10 Introduction to this qualification Rules of combination Credit transfer Paediatric First Aid Real Work Environment Requirement Progression Unit Achievement Log Read MoreChildcare: Education and Subject Code Essay43120 Words   |  173 PagesAscentis Level 3 Award in Supporting Teaching and Learning in Schools Subject Code: 501/1289/2 Ascentis Level 3 Certificate in Supporting Teaching and Learning Subject Code: 501/1706/3 Level 2 Certificate in Cover Supervision Subject Code: 501/1718/X Ascentis Level 3 Diploma in Specialist Support for Teaching and Learning Subject Code: 501/1719/1 Level 3 Award/Certificate/Diploma Level 3 Award in Supporting Teaching and Learning in Schools Level 3 Certificate in Supporting Teaching and Learning Level